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Finding the Fourth Proportional to 2,049.82, 3,074.87 and 588.94

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Solution

The fourth proportional to 2,049.82, 3,074.87 and 588.94 is: 883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.82 : 3,074.87 = 588.94 : x
  2. Step 2: Convert to fraction form
    2,049.82/3,074.87 = 588.94/x
  3. Step 3: Cross multiply
    2,049.82x = 3,074.87 × 588.94
  4. Step 4: Simplify right side
    2,049.82x = 1,810,913.94
  5. Step 5: Solve for x
    x = 1,810,913.94/2,049.82
  6. Step 6: Final answer
    x = 883.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.